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112160930040 = 23345411376163
BaseRepresentation
bin110100001110101001…
…1111111100011111000
3101201111200120121010000
41220131103333203320
53314201144230130
6123305341553000
711050311114015
oct1503523774370
9351450517100
10112160930040
1143626a14905
12198a2575760
13a7660cc133
1456001b070c
152db6b98260
hex1a1d4ff8f8

112160930040 has 320 divisors, whose sum is σ = 389062064160. Its totient is φ = 28962385920.

The previous prime is 112160929997. The next prime is 112160930047. The reversal of 112160930040 is 40039061211.

112160930040 is a `hidden beast` number, since 1 + 1 + 21 + 609 + 30 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×1121609300403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112160929986 and 112160930013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112160930047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18195999 + ... + 18202161.

Almost surely, 2112160930040 is an apocalyptic number.

112160930040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112160930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194531032080).

112160930040 is an abundant number, since it is smaller than the sum of its proper divisors (276901134120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112160930040 is a wasteful number, since it uses less digits than its factorization.

112160930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 112160930040 its reverse (40039061211), we get a palindrome (152199991251).

The spelling of 112160930040 in words is "one hundred twelve billion, one hundred sixty million, nine hundred thirty thousand, forty".